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Circular No. 24. 



5,000— January, 1912 



JUNIOR MATRICULATION 



Regulations and Courses of Study 



As Authorized by 
The University Matriculation Board 



PRINTED BY ORDER OF 

THE LEGISLATIVE ASSEMBLY OF ONTARIO 



TORONTO : 
Printed and Published by L. K. CAMERON, Printer to the King's Most Excellent Majesty 

1912. 






Printed by 

WILLIAM BRIGGS, 

29-37 Richmond Street West, 

TORONTO. 



ks 

$ 



^ 



THE UNIVERSITY MATRICULATION BOARD 



1. As a result of a conference of representatives of the University 
of Toronto; Queen's University, Kingston; McMaster University, 
Toronto; and the Western University, London, held at the University 
of Toronto in December, 1908, " The University Matriculation Board " 
was constituted, to be composed of eight members — four appointed by 
the Senate of the University of Toronto, two by the Senate of Queen's 
University, and one each by the Senates of McMaster and the Western 
Universities. 

2. On January 27th, 1909, the Board was organized. At its re- 
quest the Department of Education agreed to conduct the Junior 
Matriculation examination for admission into the Faculties of Arts of 
the Universities concerned, and to issue certificates thereon in accord- 
ance with the Eegulations issued by the University Matriculation 
Board. 

3. The Eegulations adopted by the Board are as follows: 

(l)The University Matriculation Board is constituted for the pur- jurisdiction 
pose of appointing examiners for the Junior Matriculation examina- 
tions, regulating the conduct of these examinations, considering the 
reports in connection therewith, and determining the results. 

(2) The standards, and subjects of the examination papers for Pass 
and Honour Matriculation under this Board shall be determined by the 
Statutes and Eegulations of the University of Toronto as adopted pur- 
suant to the Annual Conference with the Universities of Ontario repre- 
sented on the Board. 

(3) The Board shall appoint an executive committee of not more 
than three members who shall, in the intervals between the meetings of 
the Board, perform such duties as may be assigned to them by the 
Board. 

(4) All communications or references requiring the attention of 
the Board shall be addressed to the Eegistrar, Department of Education. 

(5) There shall be two classes of examiners, (a) Examiners-in- Examiners 
chief, who shall set the question papers and read the scholarship and 

appeal answer papers, and (&) Associate Examiners, who shall read 
the other answer papers. 

(6) The Board shall appoint as Examiners-in-chief persons of well- 
known ability as teachers in either a University or a High School. No 
Examiner-in-chief shall be engaged in the preparation of candidates 
for the examinations concerned. 

(7) The Board shall appoint as Associate Examiners persons hold- 
ing specialists' certificates according to the regulations of the Depart- 
ment of Education, or graduates of any British University. Such per- 
sons shall be actually engaged in teaching the subject which they are 
appointed to* examine, and shall have had at least two years' successful 
experience as teachers in this Province. 

[3] 



(8) No Examiner or Associate Examiner shall be appointed for more 
than three consecutive years, except in the case of an examiner who has 
exceptional ability for the work and in order to secure the requisite 
degree of experience in each section. 

(9) The number of Examiners-in-chief and Associate Examiners, 
from year to year, for each examination shall be determined by the 
Board. 

(10) The Examiners-in-chief shall act as a Board, subject to the 
provisions of " Instructions " No. 7, and shall be jointly responsible for 
each and every .question paper. 

(11) The Registrar of the Department of Education shall be Secre- 
tary of the University Matriculation Board and Chairman of the Board 
of Examiners-in-chief and of any committee thereof, and shall perform 
the duties set forth in Circular " Instructions "■ No. 7. 

(12) The Board shall appoint a .Revising Committee, to consist of 
not more than three of the Examiners-in-chief, who shall consider the 
marks obtained by the candidates, make allowances where necessary, 
determine the results, and report their findings to the Board. 

(13) The Board shall print and distribute circulars defining the 
Course of Study and .Regulations governing Pass and Honour Matricu- 
lation for Departmental examinations as authorized by the Senate of 
the University of Toronto and agreed to by the universities represented 
on this Board. 

(14) If, after all the answer papers have been read, any examina- 
tion paper should be adjudged by the Board to be easier or more diffi- 
cult than required, the minimum on the paper shall be correspondingly 
increased or diminished. 

(15) In connection with the Junior Matriculation examination a 
report signed by all the members of the staff concerned as to the stand- 
ing of their candidates will be taken into account in determining the 
results. Only the names of the candidates who, in the opinion of the 
staff, have completed satisfactorily the courses for the examination shall 
be included in this report. Such a report must be received at the 
Department not later than the first day of the examination to which 
the report refers. 

(16) A candidate who makes the required aggregate, but who fails 
to obtain the minimum in a subject, may be passed at the discretion of 
the Board, provided he was reported by the staff of the school as com- 
petent and such report is found to be satisfactory. 

(17) Uniform certificates of Pass Junior Matriculation shall be 
issued to successful candidates by the Board through the Department of 
Education. These certificates will be accepted by each of the Univer- 
sities represented on the Board in accordance with the regulations set 
forth in their respective calendars. 

Appeals. (IS) Any candidate may have his papers re-examined on appeal to 

the Registrar of the Department of Education not later than Septem- 
ber 1st. Each appellant shall be charged a fee of $2.00, which shall be 
refunded if the appeal is sustained. No appeal, however, against scholar- 
ship awards shall be entertained. 



(19) Each appeal answer paper shall be read by the Examiner-in- - 
chief who set the paper or by a substitute appointed by the Matricula- 
tion Board. 

MATEICULATION 

4. — (1) The subjects of Junior Matriculation are as follows: — Subjects 
Latin, English, History, Mathematics, and any two of the following: 
Greek, German, French, Experimental Science. 

(2) In certain cases foreign students may present themselves for 
examination in their own language, when it has been approved by the 
Senate of the University concerned. 

(3) Pass and honour papers will be set in each of these subjects. 

The pass papers, with their relative values, are as follows : 

Latin Authors 150 

Latin Composition 150 

English Literature 150 

English Composition 150 

British and Canadian History 75 

Greek and Eoman History 75 

Algebra 150 

Geometry 150 

Greek Authors 100 

Greek Composition 100 

German Authors 100 

German Composition 100 

French Authors 100 

French Composition 100 

Experimental Science — Physics 100 

Experimental Science — Chemistry 100 

5. — (1) The pass standard is forty per cent, of the marks assigned standard, 
to a paper, with an average of sixty per cent. 

(2) A candidate who has obtained the average of sixty per cent, on 
all the papers, but has failed to obtain forty per cent, in one or two or 
at most three of these papers, miay complete Junior Matriculation by 
passing on these papers at any one subsequent examination. 

(3) A candidate who has obtained partial Matriculation standing 
under the Eegulations in force in a previous year may present him- 
self for examination on the papers necessary to complete his Matricu- 
lation. 

(4) Other candidates may be admitted to the examination for the 
purpose of qualifying for a standing other than that of Departmental 
Matriculation. 

(5) Candidates who pass the complete examination for Matricula- 
tion in any one year will be granted Departmental certificates of Pass 
Junior Matriculation. All other candidates will receive statements of 
their standing. 

6. — (1) A candidate who is actually engaged in a mercantile, indus- 
trial or other occupation may proceed to pass Junior Matriculation engaged in 
under the following conditions: occupations. 



a 



Centres. 



(a) He may present himself for one or more subjects at any Mid- 
summer or September examination. 

(b) At any such examination he will receive credit for a subject or 
subjects on obtaining forty per cent, in each paper and an aggregate 
of sixty per cent, of the total marks assigned to such subject or sub- 
jects. There are two papers given in each subject. 

(c) Matriculation must be completed under these conditions within 
four consecutive years. 

(2) In order to secure credit for the subject or subjects written, a 
candidate who desires to matriculate under these regulations must, 
immediately on receipt of his Departmental statement of marks, return 
the same to the Eegistrar of the Department of Education, accompanied 
by a certificate from his employer to the following effect : — 

191.. 



Application 
to write. 



I, , do hereby certify that 

was in my employ from to .... 

in the capacity of , and that 

this employment made it impossible for him to attend the regular day 
sessions of a secondary school. 

My business is that of , 

located at 

(Give business address in full.) 



(Signature in full.) 

To the Eegistrar of the Department of Education. 

(3) Exceptional^ cases, for which provision is not made under these 
regulations, will be determined, as they arise, by the University Matricu- 
lation Board. 

7. Written examinations, as defined above, for Pass Matriculation 
will be held by the Department of Education, annually at the close of 
the school year, subject to the conditions already stated, at each High 
School and Collegiate Institute, and at such other centres as may be 
approved by the Minister of Education. If application is made to the 
University Senate the examination may, with the co-operation of the 
Department of Education, be held at centres outside of Ontario. 

8. — (1) Candidates intending to write at any of these examinations 
shall make application to the Public School Inspector before the 15th 
of May on an official form to be obtained from him or, in the case of 
candidates intending to write at a University, to the Eegistrar of the 
University concerned. 

(2) The official form of application shall include the certificate 
from the Principal of the School from which the candidate comes, or 
otherwise, that he has read carefully during the preceding year at least 
four suitable works in English Literature (both prose and poetry), in 
addition to those prescribed for the examination. 



9. The fees for the Annual Matriculation examination are as Fees, 
follows : — 



Junior Matriculation, $8.00 



Matriculation standing in certain ) Not more than four, $3.00 
papers j More than four, $8.00 .... 



Honour Matriculation in certain JNot more than four, $5.00 
papers (More than four, $10.00 . . . 

Scholarship examination (Matriculation), $10.00 



SUPPLEMENTAL MATRICULATION EXAMINATION. 

10. — (1) The Supplemental Pass Junior Matriculation examina- ?ai P Matricu 
tion is conducted in September by the Department of Education for the lati : on J 3 *- 

r J c animation. 

University Matriculation Board, at the following centres : — 

(a) The University of Toronto; Queen's University, Kingston; 
McMaster University, Toronto; Western University, London. 

(b) Any of the following, upon request: — Windsor, Chatham, 
Sarnia, St. Thomas, Woodstock, Brantford, Simcoe, Cayuga, Wel- 
land, St. Catharines, Hamilton, Goderich, Stratford, Berlin, Guelph, 
Walkerton, Owen Sound, Orangeville, Barrie, Whitby, Bowmanville, 
Cobourg, Lindsay, Peterborough, Belleville, Picton, Napanee, Broekville, 
Kemptville, Prescott, Morrisburg, Cornwall, Alexandria, Yankleek Hill, 
Ottawa, Smith's Falls, Renfrew, Bracebridge, North Bay, Sault Ste. 
Marie, Port Arthur, Haileybury. 

(c) Elsewhere in Ontario, upon request, and if approved by the 
University Matriculation Board. 

(d) Elsewhere in Canada upon request of one of the aforesaid Uni- 
versities and approval of the Board. 

(2) Applications to write on the examination, accompanied by the 
necessary fee, shall be received at the Department of Education as fol- 
lows : — 

(a) Up to September 1st, from those who wish to write at any centre 
authorized in Ontario. 

(b) Up to August 25th, from those who wish to write elsewhere in 
Ontario. 

(c) Up to August 1st, from those who, through one of the afore- 
said Universities, make application to write outside of the Province of 
Ontario. 

(3) On payment of the required fee, with one dollar additional, a 
candidate who has failed to make application as specified in the fore- 
going regulation (2) may be admitted to the examination at a centre 
already established, provided the accommodation is adequate and the 
number of question papers sufficient. 



8 

(4) The subjects of the examination, the prescription of work and 
the standard required shall be the same as for the annual Pass Junior 
Matriculation examination of the same year. 

(5) The following are eligible to become candidates at this exam- 
ination : — 

(a) Those who are applicants for the complete Matriculation ex- 
amination. 

(6) Those who are completing this examination under the regu- 
lations in force in any previous year. 

(c) Those who are applicants for Matriculation standing in certain 
papers. 

(6) (a) Candidates may write at any one of the four University 
centres mentioned in (1) (a) without any additional cost to themselves. 

(5) Candidates who write at any other centre, in addition to pay- 
ing the fee required in (7), must also defray the local expenses of con- 
ducting the examination. These include the cost of supplies, any 
charge for the examination room, express charges, and the allowance 
to the Presiding Officer at $5 per day. 

(7) The fee for writing on the Supplemental examination shall be 
$2.00 for each paper, with a maximum fee of $10.00. 

(8) Forms of application and copies of the time-table may be ob- 
tained, after July 1st, on application to the Department of Education, 
Toronto. 



PRESCRIPTION- OF WORK. 

For Pass. 

Greek. 

Translation into English of passages from the prescribed texts, with 
questions thereon. 

Translation at sight of simple narrative passages similar to the 
Xenophon prescribed. 

Questions on Greek accidence and on the common rules of Greek 
syntax to test the candidate's accuracy and comprehension in such 
matters as are needful for the intelligent reading of his texts. 

The following are the prescribed texts:— 

1912, 1914: Xenophon, Philpotts and Jerram, Easy selections from 
Xenophon, chaps. 3, 4, 5; Homer, Iliad, VI., 66-118 and 237 to the 
end. 



1913 : Xenophon, Philpotts and Jerram, Easy selections from Xeno- 
phon, chaps. 3, 4, and 5; Homer, Iliad, I., 1-350. 

Two papers will be set: (1) Prescribed texts; (2) translation at 
sight, accidence and syntax. 

Latin. 

Translation at sight of passages of average difficulty from Caesar, 
upon which special stress will be laid. 

Translation, with questions, from a prescribed portion of Virgil's 
iEneid; 

The marks assigned for the translation from prescribed authors 
shall not be more than twenty-five per cent, of the total marks assigned 
to the Latin papers. 

Questions on Latin accidence. 

Translation into Latin of English sentences involving a knowledge 
of the following principles of Latin syntax: The common uses of the 
cases; the accusative with the infinitive; the subjunctive in simple sent- 
ences; final and result clauses; the law of the sequence of tenses; the 
indirect question; verbs of fearing, doubting and hindering; the use of 
the participle, gerund and gerundive, active and passive periphrastic; 
indirect discourse; and the common forms of the conditional sentence. 

The vocabulary will be taken from the prescribed portion of Caesar 
and special stress will be laid upon this part of the examination. 

Examination upon a short prescribed portion of Caesar, to test the 
candidate's knowledge of Latin syntax, and the power of idiomatic trans- 
lation. 

The following are the texts prescribed: — 

1912, 1913: Caesar, De Bello Gallico, Book IV., chaps. 20-38, and 
Book V., chaps. 1-23 ; Virgil, ^Eneid, Book II., vv. 1-505. 

1914: Caesar, Book IV., chaps. 20-38, and Book V., chaps. 1-23; 
Virgil, ^neid, Book I., vv. 1-510. 

Two papers will be set: (1) Translation at sight, Virgil, and acci- 
dence. (2) Translation into Latin, syntax and idiomatic translation 
from prescribed Caesar, etc. . 

English. 

Composition: An essay on one of several themes set by the ex- 
aminers. In order to pass in this subject, legible writing, correct spelling 
and punctuation, and idiomatic and grammatical construction of sen- 
tences are indispensable. The candidate should also give attention to 
the structure of the whole essay, the effective ordering of the thought, 
and the active employment of a good English vocabulary. About two 
pages of foolscap is suggested as the proper length for the essay; but 
quality, not quantity, will be mainly regarded. 

One examination paper. 

Literature : The candidate will be expected to have memorized some 
of the finest passages. Besides questions to test the candidate's famil- 
iarity with, and comprehension of, the following selections, questions 
may also be set to determine within reasonable limits his power of 
appreciating literary art. 



10 

The candidate shall produce satisfactory proof, by the certificate of 
the principal of the school from which he comes or otherwise that he 
has read carefully, during the preceding year, at least four suitable 
works in English literature (both prose and poetry) in addition to 
those prescribed below for examination. 

One examination paper. 

1912: Coleridge, The Ancient Mariner; Wordsworth, Michael, In- 
fluence of Natural Objects, Nutting, Expostulation and Reply, The 
Tables Turned, The Solitary Reaper, Ode to Duty, Elegiac Stanzas, 
To the Rev. Dr. Wordsworth, "She was a phantom of delight," To 
the Cuckoo, The Green Linnet, "Bright flower! whose home," To a 
Skylark ("Ethereal minstrel! pilgrim of the sky!"), Reverie of Poor 
Susan, To my Sister, "Three years she grew," September, 1819, Upon 
the same Occasion, and the following twelve sonnets: — "Two voices are 
there," "A flock of sheep that leisurely," "Earth' hath not anything," 
"It is not to be thought of," "Fair star of evening," "0 friend, I know 
not," "Milton thou shouldst," "When I have borne in memory," 
"Brook! whose society/' "Scorn not the sonnet," "Tax not the royal 
saint," "They dreamt not of a perishable home;" Shakespeare, Mer- 
chant of Venice. 

1913: Tennyson, The Lotus Eaters, Ulysses, "You ask me, why," 
"Of old sat Freedom," "Love thou thy land," "Locksley Hall," "Tears, 
idle tears," and the six interlude songs from the Princess, The Brook, 
Ode on the Duke of Wellington, Charge of the Light Brigade, Enoch 
Arden; Shakespeare, Julius Caesar. 

1914: Tennyson, The Poet, The Lady of Shalott, Oenone, The 
Epic and Morte d' Arthur, St. Agnes' Eve, The Voyage, "Break, break, 
break," In the Valley of the Cauteretz; Browning, My Last Duchess, 
"How they brought the good news from Ghent to Aix," Love among the 
Ruins, Home Thoughts from Abroad, Up at a Villa, Andrea del Sarto, 
The Guardian Angel, Prospice, An Epistle of Karshish, Cavalier Tunes ; 
Shakespeare, Macbeth. 

German. 

The candidate's knowledge of German will be tested by: (1) simple 
questions on grammar; (2) the translation of simple passages from 
English into German; (3) translation at sight of easy passages from 
modern German, and (4) an examination on the following texts: — 

The texts contained in the New High School German Reader. 

1912: Baumbach, Waldnovellen. 

1913: Seidel, Aus goldenen Tagen, edited by W. Bernhardt. 

Two papers will be set: (1) Prescribed texts and translation at 
sight; questions on grammar; (2) the translation of English into 
German. 

French. 

The candidate's knowledge of French will be tested by: (1) simple 
questions on grammar; (2) the translation of simple passages from 
English into French; (3) translation at sight of easy passages from 
modern French, and (4.) an examination on the following texts: — 



11 

The texts contained in the New High School French Keader. 

1912: Labiehe, les Petits Oiseaux. 

1913: Labiehe, le Voyage de Monsieur Perrichon. 

1914: Daudet, la belle Mvernaise. 

Two papers will be set: (1) Prescribed texts and translation at 
sight; questions on grammar; (2) the translation of English into 
French. 

History. 

Great Britain and Canada from 1763 to 1885, with the outlines of 
the preceding periods of British and Canadian history. 
The geography relating to the history prescribed. 
One examination paper. 

General outlines of Greek history to the fall of Corinth. 
General outlines of Roman history to the death of Augustus. 
The geography relating to the history prescribed. 
One examination paper. 

Mathematics. 

Algebea. — Elementary Pules; highest .common measure; lowest 
common multiple; fractions; square root; simple equations of one, two 
and three unknown quantities; indices; surds; quadratics of one and 
two unknown quantities. 

One examination paper. 

Geometry. — A. — Constructions. 

To construct a triangle with sides of given lengths. 

To construct an angle equal to a given rectilineal angle. 

To bisect a given angle. 

To bisect a given straight line. 

To draw a line perpendicular to a given line from a given point in it. 

To draw a line perpendicular to a given line from a given point not 
in the line. 

Locus of a point equidistant from two given lines. 

Locus of a point equidistant from two given points. 

To draw a line parallel to another, through a given point. 

To divide a given line into any number of equal parts. 

To describe a parallelogram equal to a given triangle, and having 
an angle equal to a given angle. 

To describe a parallelogram equal to a given rectilineal figure, and 
having an angle equal to a given angle. 

On a given straight line to describe a parallelogram equal to a given 
triangle, and having an angle equal to a given angle. 

To find the centre of a given circle. 

From a given point to draw a tangent to a given circle. 

On a given straight line to construct a segment of a circle contain- 
ing an angle equal to a given angle. 

From a given circle to cut off a segment containing an angle equal 
to a given angle. 



12 

In a circle to inscribe a triangle equiangular to a given triangle. 

To find locus of centres of circles touching two given lines. 

To inscribe a circle in a given triangle. 

To describe a circle touching three given straight lines. 

To describe a circle about a given triangle. 

About a given circle to describe a triangle equiangular to a given 
triangle. 

To divide a given line similarly to another given divided line. 

To find the fourth proportional to three given lines. 

To describe a polygon similar to a given polygon, and with the cor- 
responding sides in a given ratio. 

To find the mean proportional between two given straight lines. 

To construct a polygon similar to a given polygon, and such that 
their areas are in a given ratio. 

To describe a polygon of a given shape and size. 

B. — Theorems. 

The sum of the angles of any triangle is equal to two right angles. 

The angles at the base of an isosceles triangle are equal, with con- 
verse. 

If the three. sides of one triangle be equal, respectively, to the three 
sides of another, the triangles are equal in all respects. 

If two sides and the included angle of one triangle be equal to two 
sides and the included angle of another triangle, the triangles are equal 
in all respects. 

If two angles and one side of a triangle be equal to two angles and 
the corresponding side of another, the triangles are equal in all re- 
spects. 

If two sides and an angle opposite one of these sides be equal, 
respectively, in two triangles, the angles opposite the other pair of 
equal sides are either equal or supplemental. 

The sum of the exterior angles of a polygon is four right angles. 

The greater side of any triangle has the greater angle opposite it. 

The greater angle of any triangle has the greater side opposite it. 

If two sides of one triangle be equal respectively to two sides of 
another, that with the greater contained angle has the greater base, 
with converse. 

If a transversal fall on two parallel lines, relations between angles 
formed, with converse. 

Lines which join equal and parallel lines towards the same parts 
are themselves equal and parallel. 

The opposite sides and angles of a parallelogram are equal and the 
diagonal bisects it. 

Parallelograms on the same base, or on equal bases, and between the 
same parallels are equal. 

Triangles on the same base, or on equal bases, and between the 
same parallels are equal. 

Triangles equal in area, and on the same base, are between the same 
parallels. 

If a parallelogram and a triangle be on the same base, and between 
the same parallels, the parallelogram is double the triangle. 



13 

Expressions for area of parallelogram, and the area of a triangle. 
The complements of parallelograms about the diagonal of any paral- 
lelogram are equal. 

The square on the hypotenuse of a right-angle triangle is equal to 
the sum of the squares on the sides. 

If a straight line be divided into any two parts, the sum of the 
squares on the parts, together with twice the rectangle contained by the 
parts, is equal to the square on the whole line. 

The square on a side of any triangle is equal to the sum of the 
squares on the two other sides -f- twice the rectangle contained by 
either of these sides and the projection of the other side on it. 

If more than two equal straight lines can be drawn from the circum- 
ference of a circle to a point within it, that point is the centre. 

- The diameter is the greatest chord in a circle, and a chord nearer 
the centre is greater than one more remote. Also the greater chord 
is nearer the centre than the less. 

The angle at the centre of a circle is double the angle at the cir- 
cumference on the same arc. 

The angles in the same segment of a circle are equal, with con- 
verse. 

The opposite angles of a quadrilateral inscribed in a circle are 
together equal to two right angles, with converse. 

The angle in a semicircle is a right angle; in a segment greater 
than a semicircle less than a right angle; in a segment less than a 
semicircle greater than a right angle. 

A tangent is perpendicular to the radius to the point of contact; 
only one tangent can be drawn at a given point; the perpendicular to 
the tangent at the point of contact passes through the centre; the 
perpendicular -from centre on tangent passes through the point of 
contact. 

If two circles touch, the line joining the centres passes through the 
point of contact. 

The angles which a chord drawn from the point of contact makes 
with the tangent, are equal to the angles in the alternate segments. 
The rectangles under the segments of intersecting chords are equal. 
If 0A.0B=0C 2 , OC is a tangent to the circle through A, B and C. 
Triangles of the same altitude are as their bases. 
A line parallel to the base of a triangle divides the sides proportion- 
ally, with converse. 

If a vertical angle of a triangle be bisected, the bisector divides the 
base into segments that are as the sides, with converse. 

The analogous proposition when the exterior angle at the vertex is 
bisected, with converse. 

If two triangles are equiangular, the sides are proportional. 
If the. sides of two triangles are proportional, the triangles are 
equiangular. 

If the sides of two triangles about equal angles are proportional, 
the triangles are equiangular. 

If two triangles have an angle in each equal, and the sides about 
two other angles proportional, the remaining angles are equal or sup- 
plemental. | 



14 

Similar triangles are as the ^squares on corresponding sides. 

The perpendicular from the right angle of a right-angled triangle 
on the hypotenuse divides the triangle into two which are similar to 
the original triangle. 

In equal circles angles, whether at the centres or circumferences, 
are proportional to the arcs on which they stand. 

The areas of two similar polygons are as the squares on correspond- 
ing sides. 

If three lines be proportional, the first is to the third as the figure 
on the first to a similar figure on the second. 

Questions and easy deductions on the preceding constructions and 
theorems. 

It is recommended that the study of formal demonstrative Geom- 
etry be preceded by a course in Practical Geometry, extending over not 
more than a year, and embracing the following : — 

Definitions; fundamental geometric conceptions and principles; use 
of simple instruments, as compasses, protractor, graduated rule, etc.; 
measurement of lines and angles, and construction of lines and angles 
of given numerical magnitude; accurate construction of figures; some 
leading propositions in plane geometry reached by induction as a result 
of accurate construction of figures; deduction also employed as prin- 
ciples are reached and assured. At the examination, questions may 
be given in Practical Geometry, the constructions being such as natur- 
ally spring from the prescribed course. , Candidates must provide them- 
selves with a graduated ruler, compasses, set-square and protractor. 

In the formal deductive Geometry modifications of Euclid's treat- 
ment of the subject will be allowed, though not required, as follows : — 

The employment of the "hypothetical construction." 

The free employment of the method of superposition, including the 
rotation of figures about an axis, or about a point in a plane. 

A modification of Euclid's parallel postulate. 

A treatment of ratio and proportion restricted to the case in which 
the compared magnitudes are commensurable. 

One examination paper. 



Experimental Science. 

Chemistry. — Physical and chemical changes. Elements, com- 
pounds, mixtures, and solutions. Fundamental chemical laws and prin- 
ciples, as definite proportions, multiple proportions, constancy of mass 
and equivalence. Rate of chemical reaction and the conditions that 
affect it. Avogadro's hypothesis and its applications. Ionization in 
solution. Properties of acids, bases, and salts. Types of chemical re- 
actions, as oxidation, reduction, replacement, neutralization of acids and 
bases, catalytic action. Combination in solutions. 

The practical study of the following elements and their more im- 
portant compounds for the purpose of learning their chemical pro- 
perties and relationships, illustrating the laws and principles of Chem- 
istry, and learning something of the commercial and industrial uses 
and preparation of materials derived from them: 



15 

Hydrogen, Oxygen, Sulphur, Sodium, Potassium, Nitrogen, Chlor- 
ine, Bromine, Iodine, Carbon, Calcium, Strontium, and Barium. 
Quantitative Exercises throughout the course. 
One examination paper. 

Physics. 

An experimental course denned as follows: 

Heat. 

Nature and sources of heat; thermometers; maximum density of 
water; relation between volume and the temperature of a gas (Charles' 
Law) ; absolute temperature ; change of state ; latent heat ; specific heat ; 
mechanical equivalents of heat; transmission of heat. 

Sound. 

Vibrations: Transversal vibrations, illustrated with pendulums, 
rods, string, membranes, plates; longitudinal vibrations illustrated with 
rods, strings, and columns of air. The use of the manometric flame. 
Production, propagation, and detection of sound waves. Velocity of 
sound, pitch; standard forks (acoustical C = 512, musical A = 870). 
Intervals; harmonic scale; diatonic scale; equally tempered scale. 
Vibration of air in organ pipes; nodes and loops m vibrating air 
columns and in vibrating strings; wave lengths and velocity relations. 
Laws of vibration of strings; intereference phenomena; beats; reson- 
ance; reflection and absorption of sound. 

Light. 

The ether, the wave theory of light, rectilinear propagation, image 
through a pin hole, beam, pencil; photometry; shadow and grease spot 
photometers; reflection and scattering of light; laws of reflection, 
images in plane mirrors, multiple images in inclined mirrors, concave 
and convex mirrors, critical rays; drawing images, refraction, laws and 
index of refraction; total reflection; path through a prism; lenses; 
drawing image produced by a lens by use of critical rays. Simple 
microscope; dispersion and colour; spectrum; recomposition of light; 
projection lantern. 

Electricity. 

Magnetism; laws of magnetic attraction and repulsion; magnetic 
lines of force; phenomena of induction; inclination and declination of 
the compass. Production and detection of electricity. Electrical con- 
ductors and insulators; electroscopes and their construction; electrical 
conduction through air; radioactivity illustrated by means of uranium 
and thorium salts, Electrical conduction in liquids; electrolysis; elec- 
troplating and electrotyping. Voltameters, storage and voltaic cells; 
electrical condensers; condensing electroscopes; simple notions of 



16 

potential; Ohm's Law; electrical units; galvanometers and volta- 
meters; laws of resistance; divided circuits; experimental determina- 
tion of current strength, resistance and electromotive force; current 
induction and its general laws; the transformer, the induction coil, 
dynamo, telephone, motor, ether waves, Koentgen rays, and wireless 
telegraphy. 

One examination paper. 

For Honours. 

Greek. 

Translation into English of passages from the prescribed texts, with 
questions thereon. 

Translation at sight of prose passages of average difficulty from 
Xenophon's historical works. 

Translation into Greek of sentences (based upon Xenophon's vocab- 
ulary) to test the candidate's scholarship in matters of accidence, syntax 
and phraseology. 

The following are the prescribed texts: — 

1912, 1913, 1914: Xenophon, Hellenica (Philpotts' Selections, sec- 
tions I. and II.), Homer, Iliad I., 1-350; III., 121-244; VI., 66-118, 
and 237 to the end; Odyssey VI. and IX. 

Two papers will be set: (1) prescribed texts; (2) translation at 
sight and Greek prose composition. 

Latin. 

Translation into English of passages from prescribed texts. 

Translation at sight of passages of average difficulty from Caesar. 

Grammatical questions on the passages from prescribed texts and 
such other questions as arise naturally from the context. 

Translation into Latin of English sentences to illustrate Latin 
syntax and continuous passages of English, based on Caesar. 

The following are the prescribed texts: — 

Caesar, De Bello, Gallico, Book I.; Horace, Odes, Book I., 1, 2, 5, 6, 
10, 14, 22, 24, 31, 34, 35, 38; Book II., 3, 10, 14, 15, 16, 18; Book 
III., 1, 2, 3, 4, 5, 13, 21, 23, 24, 25, 29, 30; Book IV., 2, 4, 5, 7, 15. 

1912: Virgil, vEneid, Book I., vv. 1-510 or Book II., w. 1-505; 
Cicero, Pro Lege Manilia. 

1913 : Virgil, Georgics IV. ; Cicero, Pro Lege Manilia. 

1914: Virgil, Georgics IV.; Cicero, In Catilinam I. and III. 

Two examination papers: (1) Latin prose; (2) authors and sight 
translation. 

English. 

Composition: An essay of one of several themes set by the ex- 
aminers. In order to pass in this subject, legible writing, correct 
spelling and punctuation, and idiomatic and grammatical construc- 
tion of sentences are indispensable. The candidate should also give 



17 

attention to the structure of the whole essay, the effective ordering of 
the thought, and the accurate employment of a good English vocab- 
ulary. About two pages of foolscap is suggested as the proper length 
for the essay; but quality, not quantity, will be mainly regarded. 

One examination paper. 

Literature: Such questions only will be set as may serve to test 
the candidate's familiarity with, and intelligent and appreciative com- 
prehension of, the prescribed texts. The candidate will be expected 
to have memorized some of the finest passages. In addition to the 
questions on the prescribed selections others will be set on a "sight 
passage" to test the candidate's ability to interpret literature for him- 
self. 

The candidate shall produce satisfactory proof by the certificate 
of the principal of the school from which he comes or otherwise that he 
has read carefully, during the preceding year, at least four suitable 
works in English literature (both prose and poetry) in addition to those 
prescribed below for examination. 

One examination paper. 

1912: Coleridge, The Ancient Mariner; Wordsworth, Michael, In- 
fluence of Natural Objects, Nutting, Expostulation and Reply, The 
Tables Turned, The Solitary Eeaper, Ode to Duty, Elegiac Stanzas, 
To the Eev. Dr. Wordsworth, "She was a phantom of delight," To 
the Cuckoo, The Green Linnet, "Bright flower ! whose home," To a 
Skylark, ("Ethereal minstrel! pilgrim of the sky!"), Reverie of Poor 
Susan, To my Sister, "Three " years she grew in sun and shade," 
September, 1819, Upon the same Occasion. The following twelve son- 
nets: "Two voices are there," "Scorn not the sonnet," "A flock of 
sheep that leisurely," "Earth hath not anything," "It is not to be 
thought of," "Fair star of evening," "0 friend ! I know not," "Milton ! 
thou shouldst," "When I have borne in memory," "Brook ! whose 
society," "Tax not the royal saint," "They dreamt not of a perishable 
home;" Shakespeare, Merchant of Venice, Henry IV., Part I. 

1913 : Tennyson, The Lotus Eaters, Ulysses, "You ask me, why," 
"Of old sat Freedom," "Love thou thy land," "Locksley Hall," "Tears, 
idle tears," and the six interlude songs from the Princess, The Brook, 
Ode on the Duke of Wellington, Charge of the Light Brigade, Enoch 
Arden; Shakespeare, Julius Caesar, Midsummer Mght's Dream. 

1914: Tennyson, The Poet, The Lady of Shalott, Oenone, The Epic 
and Morte d'Arthur, St. Angnes' Eve, The Voyage, "Break, break, 
break," In the Valley of the Cauteretz; Browning, My Last Duchess, 
"How they brought the good news from Ghent to Aix," Love among 
the Ruins, Home Thoughts from Abroad, Up at a Villa, Andrea del 
Sarto, The Guardian Angel, Prospice, An Epistle of Karshish, Cavalier 
Tunes; Shakespeare, Macbeth, As You Like It. 

German. 

The prescription of work in grammar, the translation of English 
into German and sight translation, is the same for honours as for pass, 
but the examination will be of a more advanced character. 
The following are the prescribed texts : — 



lb 

The texts contained in the New High School German Reader. 

1912 : Baumbach, Waldnovellen, Zschokke, Der tote Gast. 

1913: Isolde Kurz, Die Humanisten; Fulda, Unter vier Augen; 
Benedix, Der Prozess; German Poems, edited by Burkhard (Henry, 
Holt and Co.). 

French. 

The prescription of work in grammar, the translation of English 
into French and sight translation, is the same for honours as for pass, 
hut the examination will be of a more advanced character. 

The following are the prescribed texts: — 

The texts contained in the New High School French Reader. 

1912: Labiche, les Petits Oiseaux; Merimee, Colomba. 

1913 : Souvestre, un philosophe sons les toits, Feuillet, la Fee. 
- 1914: Fenillet, Roman d'un jeune homme pauvre. 

History. 

General outline of mediaeval and modern European history, with 
special reference to British history. 

The geography relating to the history prescribed. 
Two examination papers. 

Mathematics. 

Algebea: Elementary rules; highest common measure; lowest com- 
mon multiple; fractions; square root; simple equations of one, two and 
three unknown quantities; indices, surds, quadratics of one and two 
unknown quantities; theory of divisors; ratio, proportion and varia- 
tion; progressions; notation; permutations and combinations; hino- 
mial theorem; interest forms; annuities. 

One examination paper. 

Trigonometry. — Trigonometrical ratios with their relations to each 
other; sines, etc., of the sum and difference of angles with deduced 
formulas; use of logarithms; solution of triangles; expressions for the 
area of triangles; radii of circumscribed, inscribed and escribed circles. 

One examination paper. 

Problems: One paper. 

Geometry: A. — Exercises on the course prescribed for the pass ex- 
amination, with special reference to the following topics : — loci ; maxima 
and minima; the system of inscribed, escribed and circumscribed circles 
of a triangle, with metrical relations; radical axis. 

B. — The following additional propositions in Synthetic Geometry, 
with exercises thereon: — 

To divide a given straight line internally and externally in medial 
section. 

To describe a square that shall be equal to a given rectilineal figure. 

To describe an isosceles triangle having each of the angles at the 
base double of the third angle. 



19 

To inscribe a regular pentagon in a given circle. 

The squares on two sides of a triangle are together equal to twice 
the square on half the third side and twice the square on the median to 
that side. 

If A B C be a triangle, and A be joined to a point P of the base 
such that B P : P C = m : n, then n A B 2 + m A C 2 = (m + n) 
A P 2 + n B P 2 + m P C 2 . 

In a right-angled triangle the rectilineal figure described on the 
hypotenuse is equal to the sum of the similar and similarly described 
figures on the two other sides. 

If the vertical angle of a triangle be bisected by a straight line 
which also cuts the base, the rectangle contained by the sides of the 
triangle is equal to the rectangle contained by the segments of the base, 
together with the square on the straight line which bisects the angle. 

If from the vertical angle of a triangle a straight line be drawn per- 
pendicular to the base, the rectangle contained by the sides of the tri- 
angle is equal to the rectangle contained by the perpendicular and the 
diameter of the circle described about the triangle. 

The rectangle contained by the diagonals of a quadrilateral inscribed 
in a circle is equal to the sum of the two rectangles contained by its 
opposite sides. 

Two similar polygons may be so placed that the lines adjoining 
corresponding points are concurrent. 

If a straight line meet the sides B C, C A, A B, of a triangle A 
B C in D, E, F, respectively, then B D. C E. A F = D C. E A. F B, 
and conversely. (Menelaus' Theorem.) 

If straight lines through the angular points A, B, C of a triangle are 
concurrent, and intersect the opposite sides in D, E, F, respectively, 
then B D. C E. A F = D C. E A. F B, and conversely. (Ceva's 
Theorem.) 

If a point A lie on the polar of a point B with respect to a circle, 
then B lies on polar of A. 

Any straight line which passes through a fixed point is cut harmoni- 
cally by the point, any circle, and the polar of the point with respect 
to the circle. 

In a complete quadrilateral each diagonal is divided harmonically by 
the two other diagonals, and at the angular points through which, it 
passes. 

C. — Elementary Analytical Geometry: Axes of co-ordinates. 
Position of a point in plane of reference. 

Transformation of co-ordinates — origin changed, or axes (rectangu- 
lar) turned through a given angle. 

±2A=x 1 (y. 2 -y 3 ) + ....+.... 

Co-ordinates of point dividing line joining P x (x 1 , y x ) and P 2 (^ 2/2) * n 
ratio m : n are 

mx 2 + nx 1 my 2 + ny x 

x = j y — m 

m+n m+n 

(p 1 p,y=(x 1 -x 2 y+(y 1 -y 2 y 



20 
Equations of straight lines. 

x \ ~ x i V\ — 2/2 

1 x y 
- + ^ = 1. 

a 

x — a y — b 

= r. 



Line denned by two points 
through which it passes* 



Line denned by one point 
through which it passes, 
and by its direction. 



cos sin 

y = mx + b. 
y = mix- a), 
x cos a + y sin a = p. 

General equation of 1st degree, Ax + By + C = 0, represents a straight 
line. . 

Any line through (x u y x ) is 

A(x-x 1 ) + B(y-y 1 ) = 0. 
If be angle between Ax + By + C = and A'x + By + C = 0, then 

, n A'B-AB' 
. Und = AA> + BB" 

Condition of 1 rity, A A' + BB' = 0. 

A B 
Condition of || ism, -77 = -5;. 
A B 

Distance from (a, b) to Ax + By + C = 0, in direction whose direction 
cosines are (I, m), is 

Aa + Bb + C 
Al + Bm 

_L distance from (a, b) on Ax + By + C = 0, is 

Aa + Bb + C 



±- 



Va 2 +b 2 



The Circle — 

Equations in forms : 



x 2 + y 2 = r 2 . 



(x - of +(y- bf = r 2 . 
ft 2 + 2/ 2 — 2r.sc = 0. 
General equation x 2 + y 2 + 2Ax + 2 By + C = 

or (cc + ^) 2 +(2/ + ^) 2 = ^ 2 + ^ 2 -C 



represents a circle with centre ( - A, - B) and radius \/A 2 + B 2 — C. 
Tangent at (x\ y') to x 2 + y 2 = r 2 is xx' + yy' = r 2 . 

Normal is — = — . 
x y 

Tangent in form y = mx±r\/\+m 2 . 

Pole being {x, y'), polar is xx + yy' = r 2 . 

If pole move along a line, polar turns about pole of that line. 

Square of tangent from (x\ y) to x 2 + y 2 + 2Ax + 2By + C=0 

is x' 2 + y' 2 + 2Ax' + 2By' + C. 



21 

Radical axis of x 2 + y 2 + 2Ax + 2£y + G = 0, 

x 2 + 2/ 2 + 24'a; + 2^ + C" = 0. 

Easy exercises on the preceding propositions. 
One examination paper. 

Physics, 

1. Mechanics: Measurement of velocity; uniformly accelerated 
rectilinear motion; metric units of force; work energy, and power. 
Momentum; energy, force and momentum relations; equilibrium of 
forces acting at a point; triangle, parallelogram, and polygon of forces; 
parallel forces; principle of moments; centre of gravity; laws of fric- 
tion; numerical examples. 

2. Pkopekties of Mattee: An experimental course illustrating the 
following topics: — Constitution of solids, liquids, gases; energy; trans- 
mutation of energy; conservation of energy; kinetic theory of matter. 
Boyle's and Charles' Laws; Avogadro's hypothesis. Heat, a mode of 
motion; absolute temperature; mechanical equivalent of heat. 

Fluid pressure at a point; pressure on a horizontal plane, pressure 
on an inclined plane, resultant vertical pressure and resultant hori- 
zontal pressure, when liquid is under air pressure and when it is not; 
transmission of pressure; Bramah press; equilibrium of liquids in con- 
tact; with calculations relating to the preceding. 

The barometer, Isobars, weather forecasting. The siphon. Sur- 
face tension phenomena; surface energy illustrated with applications 
to filtration; dyeing, and agricultural problems. Flow of liquids — 
Toiricelli's theorem, Bernoulli's theorem; variation of pressure with 
velocity of flow of liquid, with application to atomisers, Bunsen filter 
pumps, aspirators, forced draughts, ball-nozzles, and curves of a base- 
ball or golf-ball. 

One examination paper. 

Chemistry, 

Reactions, rates of reactions, reversible reactions, chemical equili- 
brium. The practical study of the following elements with their most 
characteristic compounds, having regard to Mendelejefli's classification 
of the elements, and some of the most important economic and indus- 
trial applications: hydrogen, sodium, potassium, magnesium, zinc, 
calcium, strontium, barium, boron, aluminium, carbon, silicon, tin, 
lead,, nitrogen, phosphorus, arsenic, antimony, bismuth, oxygen, sul- 
phur, fluorine, chlorine, bromine, iodine, manganese, iron, copper, 
nickel. A report must be furnished showing the amount and nature 
of the laboratory work done by each candidate, and the tieacher's 
opinion of his proficiency. 



One examination paper. 



Biology. 



Zoology. — The practical study of the external form and of the 
prepared skeleton of the various types prescribed. Prepared dissec- 
tions may be used to supplement class dissection. Drawing by the 
pupils of their dissections is a necessary part of the course. 



22 

The Pish: Any one of the common fresh water fishes of Ontario; 
special attention to the organs of locomotion, circulation, respiration. 
As several species are easily obtainable, this class may be employed 
for studying the principles of zoological nomenclature. 

The Frog: Comparison with the fish as to the organs above men- 
tioned. Observation of the development of the spawn of one or more 
Amphibia. 

The Reptile: A turtle and a snake. Comparison of both with a 
lizard. 

The Bird: Special attention to the plumage, the bill and feet, and 
the modifications of the skeletal, muscular, and respiratory systems in 
connection with aerial life. Study of birds in relation to agriculture. 

The Mammal: Characters of the chief domesticated and wild mam- 
mals of Ontario, as well as the main facts of internal structure of one 
of the smaller forms (e.g., the rabbit or cat). Comparison of the 
teeth and feet of the pig, horse, sheep, rabbit, dog, mole, bat. 

The crayfish as a type of the arthropods. Comparison of the ex- 
ternal form of the crayfish with that of an insect (e.g., grasshopper, 
cricket, cockroach), also with that of a millipede and a spider. In- 
sects injurious to vegetation; the methods of combating their 
attacks. 

Unsegmented and segmented worms (e.g., a planaria and an 
earth worm). 

Fresh-water mussel and snail. 

A fresh-water unicellular animal, such as an amoeba or para- 
mcecium. 

The natural habits of the various animals studied in relation to 
their structure. 

A general view of classification based upon comparisons of the 
types studied. 

Note. — Models are desirable for demonstration purposes. 

One examination paper. 

Botany. — The practical study of representatives of the flowering 
plants of the locality in which the school is situated, and represen- 
tatives of' the chief subdivisions of cryptogams, such as a fern, a lyco- 
pod, a horsetail, a liver- wort, a moss, a lichen, a mushroom, a chara, 
and a spirogyra — with a general view of classification. An elementary 
knowledge of the microscopic structure of the bean and the maize or 
other types of the dicotyledons and monocotyledons. Drawings and 
descriptions of parts of plants, and classification. Comparison of 
different organs; morphology of root, stem, leaves, hair, parts of the 
flower; reproduction of flowering plants, pollination, fertilization and 
the nature of fruits and seeds. Laboratory course in plant physiology, 
with studies of protoplasm, osmosis, absorption of food material; cul- 
ture fluids, transpiration, digestion, respiration, growth, and move- 
ment. Common economic fungi (a collection to be made) with further 
study of fungous diseases. 

One examination paper. 



LIBRARY OF CONGRESS 







019 752 733 A 



LIBRARY OF CONGRESS 



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019 752 733 A 



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P H8.5 



LIBRARY OF CONGRESS 



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